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34775000 = 235513107
BaseRepresentation
bin1000010010100…
…1111111011000
32102102202022222
42010221333120
532400300000
63241203212
7601403561
oct204517730
972382288
1034775000
11186a1a77
12b790508
137287530
144893168
1530bda85
hex2129fd8

34775000 has 96 divisors (see below), whose sum is σ = 88588080. Its totient is φ = 12720000.

The previous prime is 34774981. The next prime is 34775009. The reversal of 34775000 is 57743.

34775000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34775009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324947 + ... + 325053.

Almost surely, 234775000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44294040).

34775000 is an abundant number, since it is smaller than the sum of its proper divisors (53813080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34775000 is a wasteful number, since it uses less digits than its factorization.

34775000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 34775000 is about 5897.0331523572. The cubic root of 34775000 is about 326.4041808304.

The spelling of 34775000 in words is "thirty-four million, seven hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 107 125 130 200 214 250 260 325 428 500 520 535 625 650 856 1000 1070 1250 1300 1391 1625 2140 2500 2600 2675 2782 3125 3250 4280 5000 5350 5564 6250 6500 6955 8125 10700 11128 12500 13000 13375 13910 16250 21400 25000 26750 27820 32500 34775 40625 53500 55640 65000 66875 69550 81250 107000 133750 139100 162500 173875 267500 278200 325000 334375 347750 535000 668750 695500 869375 1337500 1391000 1738750 2675000 3477500 4346875 6955000 8693750 17387500 34775000